106463206369 has 27 divisors (see below), whose sum is σ = 121761667449. Its totient is φ = 93030949440.

The previous prime is 106463206337. The next prime is 106463206373. The reversal of 106463206369 is 963602364601.

The square root of 106463206369 is 326287.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1494982225 + 104968224144 = 38665^2 + 323988^2 .

It is not a de Polignac number, because 106463206369 - 2⁵ = 106463206337 is a prime.

It is a super-2 number, since 2×106463206369² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106463206169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80592229 + ... + 80593549.

It is an arithmetic number, because the mean of its divisors is an integer number (4509691387).

Almost surely, 2^106463206369 is an apocalyptic number.

106463206369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

106463206369 is the 326287-th square number.

106463206369 is the 163144-th centered octagonal number.

It is an amenable number.

106463206369 is a deficient number, since it is larger than the sum of its proper divisors (15298461080).

106463206369 is an frugal number, since it uses more digits than its factorization.

106463206369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 46.

The spelling of 106463206369 in words is "one hundred six billion, four hundred sixty-three million, two hundred six thousand, three hundred sixty-nine".